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Finding the Fourth Proportional to 38,893.50, 58,348.89 and 14,269.50

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Solution

The fourth proportional to 38,893.50, 58,348.89 and 14,269.50 is: 21,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,893.50 : 58,348.89 = 14,269.50 : x
  2. Step 2: Convert to fraction form
    38,893.50/58,348.89 = 14,269.50/x
  3. Step 3: Cross multiply
    38,893.50x = 58,348.89 × 14,269.50
  4. Step 4: Simplify right side
    38,893.50x = 832,609,485.86
  5. Step 5: Solve for x
    x = 832,609,485.86/38,893.50
  6. Step 6: Final answer
    x = 21,407.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.